
\begin{tikzpicture}[scale=.36]
  \tkzDefPoints{0/{4*sqrt(3)}/A,-9/0/B,9/0/C,4/0/D}
  \tkzInterLC(A,C)(D,C) \tkzGetSecondPoint{E}
  \tkzInterLL(A,D)(B,E) \tkzGetPoint{P}
  \tkzDefTriangle[equilateral](C,D) \tkzGetPoint{Q}
  \tkzFillPolygon[color=cyan!10](A,C,Q)
  \tkzFillPolygon[color=cyan!10](B,P,D)
  \tkzDrawPolygon(A,B,C)
  \tkzDrawSegments(A,D B,E)
  \tkzDrawSegments[dashed](C,Q D,Q)
  \tkzMarkSegments[color=blue,mark=|](A,B A,C B,P)
  \tkzMarkAngles[mkcolor=cyan,mark=|](D,A,E D,B,E)
  \tkzMarkAngles[mkcolor=violet,mark=||](A,D,B A,E,B Q,D,C C,Q,D)
  \tkzMarkAngles[mkcolor=blue,mark=x,arc=ll](B,A,D A,P,B)
  \tkzDrawPoints(A,B,C,D,E,P,Q)
  \tkzLabelPoints[right](A)
  \tkzLabelPoints[above](E)
  \tkzLabelPoints[below](B,C,P,Q)
  \tkzLabelPoints[below left](D)
\end{tikzpicture}
